Home
Class 11
PHYSICS
When .n. number of particles of masses m...

When .n. number of particles of masses m, 2m, 3m, …….. nm are at distances `x_(1)=1, x_(2)=2, x_(3)=3, ……………x_(n) =n` units respectively from origin on the x-axis, then find the distance of centre of mass of the system from origin.

Text Solution

AI Generated Solution

To find the distance of the center of mass of a system of particles with varying masses and positions, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Masses and Positions**: - We have `n` particles with masses: - First particle: mass = `m`, position = `x_1 = 1` - Second particle: mass = `2m`, position = `x_2 = 2` ...
Promotional Banner

Similar Questions

Explore conceptually related problems

When n number of particles of masses m, 2m, 3m, …….. nm are at distances x_(1)=1, x_(2)=4, x_(3)=9, ………x_(n)=n^(2) units respectively from origin on the x-axis, then find the distance of their centre of mass from origin.

When n number of particles each of mass m are at distances x_(1)=1, x_(2)=2, x_(3)=3, ………., x_(n)=n units from origin on the x-axis, then find the distance of their centre of mass from origin.

When n number of particles each of mass m are at distances x_(1)=a, x_(2)=ar, x_(3)=ar^(2)…….x_(n)=ar^(n) units from origin on the x-axis, then the distance of their centre of mass from origin.

Particle of masses m, 2m,3m,…,nm grams are placed on the same line at distance l,2l,3l,…..,nl cm from a fixed point. The distance of centre of mass of the particles from the fixed point in centimeters is :

Particle of masses m, 2m,3m,…,nm grams are placed on the same line at distance l,2l,3l,…..,nl cm from a fixed point. The distance of centre of mass of the particles from the fixed point in centimeters is :

Infinite number of bodies, each of mass 2kg are situated on X-axis at distance 1m,2m,4m,8m, respectively from the origin, What is the resulting gravitational potential due to this system at the origin ?

The average of n numbers x_(1),x_(2),x_(3),..,x_(n) is M. If x_(n) is replaced by x', then new average is

Find the equation of the line , which is perpendicular to x - axis and a distance of 3 units from left of the origin is

Infinite number of bodies, each of mass 2kg , are situated on x -axis at distance 1m,2m,4m,8m......... respectively, from the origin. The resulting gravitational potential due to this system at the origin will be

Infinite number of bodies, each of mass 2kg , are situated on x -axis at distance 1m,2m,4m,8m......... respectively, from the origin. The resulting gravitational potential the to this system at the origing will be